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44451222245144 = 231113156724796403
BaseRepresentation
bin10100001101101100110110…
…10011111100111100011000
312211101111101002212201222222
422012312123103330330120
521311242100343321034
6234312335401003212
712235331503621421
oct1206663323747430
9184344332781888
1044451222245144
1113188726130a40
124b9ab40483508
131ba5969a53a10
14ad964478c648
155214293e712e
hex286d9b4fcf18

44451222245144 has 64 divisors (see below), whose sum is σ = 97979518909440. Its totient is φ = 18638959455360.

The previous prime is 44451222245141. The next prime is 44451222245197. The reversal of 44451222245144 is 44154222215444.

It is a super-2 number, since 2×444512222451442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44451222245095 and 44451222245104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44451222245141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10605554 + ... + 14190849.

It is an arithmetic number, because the mean of its divisors is an integer number (1530929982960).

Almost surely, 244451222245144 is an apocalyptic number.

44451222245144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44451222245144 is an abundant number, since it is smaller than the sum of its proper divisors (53528296664296).

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

44451222245144 is a wasteful number, since it uses less digits than its factorization.

44451222245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24798000 (or 24797996 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

The spelling of 44451222245144 in words is "forty-four trillion, four hundred fifty-one billion, two hundred twenty-two million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1567 3134 6268 12536 17237 20371 34474 40742 68948 81484 137896 162968 224081 448162 896324 1792648 24796403 49592806 99185612 198371224 272760433 322353239 545520866 644706478 1091041732 1289412956 2182083464 2578825912 3545885629 7091771258 14183542516 28367085032 38855963501 77711927002 155423854004 310847708008 427415598511 505127525513 854831197022 1010255051026 1709662394044 2020510102052 3419324788088 4041020204104 5556402780643 11112805561286 22225611122572 44451222245144