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153046044340 = 22573149149731
BaseRepresentation
bin1000111010001001000…
…0010100111010110100
3112122001001010121011121
42032202100110322310
510001414241404330
6154150335513324
714025423625000
oct2164220247264
9478031117147
10153046044340
11599a7558372
12257b2988844
1311580665767
14759c141700
153eab21b17a
hex23a2414eb4

153046044340 has 96 divisors (see below), whose sum is σ = 377324640000. Its totient is φ = 52120414080.

The previous prime is 153046044271. The next prime is 153046044353. The reversal of 153046044340 is 43440640351.

It is a junction number, because it is equal to n+sod(n) for n = 153046044296 and 153046044305.

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, 947275 + ... + 1097005.

It is an arithmetic number, because the mean of its divisors is an integer number (3930465000).

Almost surely, 2153046044340 is an apocalyptic number.

153046044340 is a gapful number since it is divisible by the number (10) 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 153046044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188662320000).

153046044340 is an abundant number, since it is smaller than the sum of its proper divisors (224278595660).

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

153046044340 is a wasteful number, since it uses less digits than its factorization.

153046044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149910 (or 149894 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 153046044340 its reverse (43440640351), we get a palindrome (196486684691).

The spelling of 153046044340 in words is "one hundred fifty-three billion, forty-six million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 343 490 596 686 745 980 1043 1372 1490 1715 2086 2980 3430 4172 5215 6860 7301 10430 14602 20860 29204 36505 51107 73010 102214 146020 149731 204428 255535 299462 511070 598924 748655 1022140 1048117 1497310 2096234 2994620 4192468 5240585 7336819 10481170 14673638 20962340 22309919 29347276 36684095 44619838 51357733 73368190 89239676 102715466 111549595 146736380 156169433 205430932 223099190 256788665 312338866 446198380 513577330 624677732 780847165 1027154660 1093186031 1561694330 2186372062 3123388660 4372744124 5465930155 7652302217 10931860310 15304604434 21863720620 30609208868 38261511085 76523022170 153046044340