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145387740272 = 24174768316651
BaseRepresentation
bin1000011101100111001…
…0001101110001110000
3111220021022200102222012
42013121302031301300
54340223230142042
6150442403502052
713334562254615
oct2073162156160
9456238612865
10145387740272
1156727653155
1224216087928
131092cb5bba8
147072dc250c
153badc18e82
hex21d9c8dc70

145387740272 has 80 divisors (see below), whose sum is σ = 305068902912. Its totient is φ = 66860006400.

The previous prime is 145387740263. The next prime is 145387740341. The reversal of 145387740272 is 272047783541.

It is a super-2 number, since 2×1453877402722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145387740272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8723147 + ... + 8739797.

Almost surely, 2145387740272 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 145387740272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534451456).

145387740272 is an abundant number, since it is smaller than the sum of its proper divisors (159681162640).

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

145387740272 is a wasteful number, since it uses less digits than its factorization.

145387740272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17406 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 50.

The spelling of 145387740272 in words is "one hundred forty-five billion, three hundred eighty-seven million, seven hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 683 752 799 1366 1598 2732 3196 5464 6392 10928 11611 12784 16651 23222 32101 33302 46444 64202 66604 92888 128404 133208 185776 256808 266416 283067 513616 545717 566134 782597 1091434 1132268 1565194 2182868 2264536 3130388 4365736 4529072 6260776 8731472 11372633 12521552 13304149 22745266 26608298 45490532 53216596 90981064 106433192 181962128 193334761 212866384 386669522 534513751 773339044 1069027502 1546678088 2138055004 3093356176 4276110008 8552220016 9086733767 18173467534 36346935068 72693870136 145387740272