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145235440038 = 2313329715351
BaseRepresentation
bin1000011101000010110…
…1001111000110100110
3111212212201002210022210
42013100231033012212
54334420233040123
6150415323304250
713331032604613
oct2072055170646
9455781083283
10145235440038
115665968a797
122419307b086
1310907436000
14705aa9950a
153ba0682e93
hex21d0b4f1a6

145235440038 has 128 divisors (see below), whose sum is σ = 330162739200. Its totient is φ = 42531216000.

The previous prime is 145235440019. The next prime is 145235440081. The reversal of 145235440038 is 830044532541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 145235439978 and 145235440005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27139063 + ... + 27144413.

It is an arithmetic number, because the mean of its divisors is an integer number (2579396400).

Almost surely, 2145235440038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145235440038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165081369600).

145235440038 is an abundant number, since it is smaller than the sum of its proper divisors (184927299162).

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

145235440038 is a wasteful number, since it uses less digits than its factorization.

145235440038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 145235440038 its reverse (830044532541), we get a palindrome (975279972579).

The spelling of 145235440038 in words is "one hundred forty-five billion, two hundred thirty-five million, four hundred forty thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 71 78 87 142 169 174 213 338 377 426 507 754 923 1014 1131 1846 2059 2197 2262 2769 4118 4394 4901 5351 5538 6177 6591 9802 10702 11999 12354 13182 14703 16053 23998 26767 29406 32106 35997 53534 63713 69563 71994 80301 127426 139126 155179 155987 160602 191139 208689 310358 311974 347971 379921 382278 417378 465537 467961 695942 759842 904319 931074 935922 1043913 1139763 1808638 2017327 2087826 2279526 2712957 4034654 4523623 4938973 5425914 6051981 9047246 9877946 11017709 11756147 12103962 13570869 14816919 22035418 23512294 26225251 27141738 29633838 33053127 35268441 52450502 64206649 66106254 70536882 78675753 128413298 143230217 157351506 192619947 286460434 340928263 385239894 429690651 681856526 834686437 859381302 1022784789 1669372874 1861992821 2045569578 2504059311 3723985642 5008118622 5585978463 11171956926 24205906673 48411813346 72617720019 145235440038