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153020203245144 = 23328349597516277
BaseRepresentation
bin100010110010101111001010…
…110110111001111001011000
3202001210120220001201021001100
4202302233022312321321120
5130024040334012321034
61301240302205151400
744142226166566014
oct4262571266717130
9661716801637040
10153020203245144
114483655a55a054
12151b441055b560
13674c987bc5b31
1429b03085c3544
1512a561768a099
hex8b2bcadb9e58

153020203245144 has 96 divisors (see below), whose sum is σ = 419432115276720. Its totient is φ = 50391081808128.

The previous prime is 153020203245127. The next prime is 153020203245149. The reversal of 153020203245144 is 441542302020351.

It is a happy number.

153020203245144 is a `hidden beast` number, since 1 + 5 + 302 + 0 + 20 + 324 + 5 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153020203245099 and 153020203245108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153020203245149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296133534 + ... + 296649810.

Almost surely, 2153020203245144 is an apocalyptic number.

It is an amenable number.

153020203245144 is an abundant number, since it is smaller than the sum of its proper divisors (266411912031576).

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

153020203245144 is a wasteful number, since it uses less digits than its factorization.

153020203245144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565969 (or 565962 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 153020203245144 its reverse (441542302020351), we get a palindrome (594562505265495).

The spelling of 153020203245144 in words is "one hundred fifty-three trillion, twenty billion, two hundred three million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 49597 99194 148791 198388 297582 396776 446373 516277 595164 892746 1032554 1190328 1548831 1785492 2065108 3097662 3570984 4116551 4130216 4646493 6195324 8233102 9292986 12349653 12390648 16466204 18585972 24699306 32932408 37048959 37171944 42850991 49398612 74097918 85701982 98797224 128552973 148195836 171403964 257105946 296391672 342807928 385658919 514211892 771317838 1028423784 1542635676 3085271352 25605790369 51211580738 76817371107 102423161476 153634742214 204846322952 230452113321 307269484428 460904226642 614538968856 921808453284 1843616906568 2125280600627 4250561201254 6375841801881 8501122402508 12751683603762 17002244805016 19127525405643 25503367207524 38255050811286 51006734415048 76510101622572 153020203245144