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155221340032 = 2711213972101
BaseRepresentation
bin1001000010001111101…
…0011010111110000000
3112211122122100001212201
42100203322122332000
510020343130340112
6155150244002544
714133346422643
oct2204372327600
9484578301781
10155221340032
115a913444200
12260bb390454
1311839227685
147726dcba5a
1540871a8257
hex2423e9af80

155221340032 has 96 divisors (see below), whose sum is σ = 342347506200. Its totient is φ = 70046592000.

The previous prime is 155221340011. The next prime is 155221340033. The reversal of 155221340032 is 230043122551.

It is a super-2 number, since 2×1552213400322 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155221340033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2116782 + ... + 2188882.

Almost surely, 2155221340032 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 155221340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171173753100).

155221340032 is an abundant number, since it is smaller than the sum of its proper divisors (187126166168).

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

155221340032 is a wasteful number, since it uses less digits than its factorization.

155221340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72276 (or 72253 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 155221340032 its reverse (230043122551), we get a palindrome (385264462583).

The spelling of 155221340032 in words is "one hundred fifty-five billion, two hundred twenty-one million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 139 176 242 278 352 484 556 704 968 1112 1408 1529 1936 2224 3058 3872 4448 6116 7744 8896 12232 15488 16819 17792 24464 33638 48928 67276 72101 97856 134552 144202 195712 269104 288404 538208 576808 793111 1076416 1153616 1586222 2152832 2307232 3172444 4614464 6344888 8724221 9228928 10022039 12689776 17448442 20044078 25379552 34896884 40088156 50759104 69793768 80176312 101518208 110242429 139587536 160352624 220484858 279175072 320705248 440969716 558350144 641410496 881939432 1116700288 1212666719 1282820992 1763878864 2425333438 3527757728 4850666876 7055515456 9701333752 14111030912 19402667504 38805335008 77610670016 155221340032