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155404015344 = 24337310347843
BaseRepresentation
bin1001000010111011001…
…1010001011011110000
3112212010101001221022000
42100232303101123300
510021231411442334
6155220331214000
714141025223014
oct2205663213360
9485111057260
10155404015344
115a9a7573936
12261505a7300
1311868027186
147743380544
15409823e299
hex242ecd16f0

155404015344 has 160 divisors (see below), whose sum is σ = 456577205760. Its totient is φ = 50594637312.

The previous prime is 155404015307. The next prime is 155404015387. The reversal of 155404015344 is 443510404551.

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 = 155404015299 and 155404015308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224287 + ... + 3272129.

It is an arithmetic number, because the mean of its divisors is an integer number (2853607536).

Almost surely, 2155404015344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155404015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228288602880).

155404015344 is an abundant number, since it is smaller than the sum of its proper divisors (301173190416).

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

155404015344 is a wasteful number, since it uses less digits than its factorization.

155404015344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48036 (or 48024 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 155404015344 its reverse (443510404551), we get a palindrome (598914419895).

The spelling of 155404015344 in words is "one hundred fifty-five billion, four hundred four million, fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 103 108 144 146 206 216 219 292 309 412 432 438 584 618 657 824 876 927 1168 1236 1314 1648 1752 1854 1971 2472 2628 2781 3504 3708 3942 4944 5256 5562 7416 7519 7884 10512 11124 14832 15038 15768 22248 22557 30076 31536 44496 45114 47843 60152 67671 90228 95686 120304 135342 143529 180456 191372 203013 270684 287058 360912 382744 406026 430587 541368 574116 765488 812052 861174 1082736 1148232 1291761 1624104 1722348 2296464 2583522 3248208 3444696 3492539 4927829 5167044 6889392 6985078 9855658 10334088 10477617 13970156 14783487 19711316 20668176 20955234 27940312 29566974 31432851 39422632 41910468 44350461 55880624 59133948 62865702 78845264 83820936 88700922 94298553 118267896 125731404 133051383 167641872 177401844 188597106 236535792 251462808 266102766 354803688 359731517 377194212 502925616 532205532 709607376 719463034 754388424 1064411064 1079194551 1438926068 1508776848 2128822128 2158389102 2877852136 3237583653 4316778204 5755704272 6475167306 8633556408 9712750959 12950334612 17267112816 19425501918 25900669224 38851003836 51801338448 77702007672 155404015344