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150215521544144 = 24721911995040949
BaseRepresentation
bin100010001001111011000110…
…110011010010011111010000
3201200212110111222021121200022
4202021323012303102133100
5124142112342003403034
61251252020302443012
743432466441513600
oct4211730663223720
9650773458247608
10150215521544144
114395505488a2a1
1214a20936293468
1365a8355790424
142914681ac4c00
1512576b5389b2e
hex889ec6cd27d0

150215521544144 has 120 divisors (see below), whose sum is σ = 342042572160000. Its totient is φ = 63719195823360.

The previous prime is 150215521544141. The next prime is 150215521544147. The reversal of 150215521544144 is 441445125512051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150215521544141) and next prime (150215521544147).

It is a junction number, because it is equal to n+sod(n) for n = 150215521544095 and 150215521544104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150215521544141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27278582 + ... + 32319530.

It is an arithmetic number, because the mean of its divisors is an integer number (2850354768000).

Almost surely, 2150215521544144 is an apocalyptic number.

150215521544144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150215521544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171021286080000).

150215521544144 is an abundant number, since it is smaller than the sum of its proper divisors (191827050615856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150215521544144 is a wasteful number, since it uses less digits than its factorization.

150215521544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041361 (or 5041348 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 44.

The spelling of 150215521544144 in words is "one hundred fifty trillion, two hundred fifteen billion, five hundred twenty-one million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 191 196 199 382 392 398 764 784 796 1337 1393 1528 1592 2674 2786 3056 3184 5348 5572 9359 9751 10696 11144 18718 19502 21392 22288 37436 38009 39004 74872 76018 78008 149744 152036 156016 266063 304072 532126 608144 1064252 1862441 2128504 3724882 4257008 5040949 7449764 10081898 14899528 20163796 29799056 35286643 40327592 70573286 80655184 141146572 247006501 282293144 494013002 564586288 962821259 988026004 1003148851 1925642518 1976052008 2006297702 3851285036 3952104016 4012595404 6739748813 7022041957 7702570072 8025190808 13479497626 14044083914 15405140144 16050381616 26958995252 28088167828 47178241691 49154293699 53917990504 56176335656 94356483382 98308587398 107835981008 112352671312 188712966764 191601430541 196617174796 377425933528 383202861082 393234349592 754851867056 766405722164 786468699184 1341210013787 1532811444328 2682420027574 3065622888656 5364840055148 9388470096509 10729680110296 18776940193018 21459360220592 37553880386036 75107760772072 150215521544144