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145136623002 = 237229117114537
BaseRepresentation
bin1000011100101011010…
…0010001110110011010
3111212121211011100211120
42013022310101312122
54334214433414002
6150401433310110
713325422640400
oct2071264216632
9455554140746
10145136623002
1156608927018
1224165b65336
13108bcb17aa7
14704b8d5470
153b96b63cbc
hex21cad11d9a

145136623002 has 96 divisors (see below), whose sum is σ = 349630758720. Its totient is φ = 40000746240.

The previous prime is 145136622991. The next prime is 145136623091. The reversal of 145136623002 is 200326631541.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9976678 + ... + 9991214.

It is an arithmetic number, because the mean of its divisors is an integer number (3641987070).

Almost surely, 2145136623002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145136623002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174815379360).

145136623002 is an abundant number, since it is smaller than the sum of its proper divisors (204494135718).

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

145136623002 is a wasteful number, since it uses less digits than its factorization.

145136623002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15756 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 145136623002 in words is "one hundred forty-five billion, one hundred thirty-six million, six hundred twenty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1171 1218 1421 2342 2842 3513 4263 7026 8197 8526 14537 16394 24591 29074 33959 43611 49182 57379 67918 87222 101759 101877 114758 172137 203518 203754 237713 305277 344274 421573 475426 610554 712313 713139 843146 1264719 1424626 1426278 1663991 2136939 2529438 2951011 3327982 4273878 4991973 5902022 8853033 9983946 17022827 17706066 20657077 34045654 41314154 51068481 61971231 102136962 119159789 123942462 238319578 357479367 493661983 714958734 834118523 987323966 1480985949 1668237046 2502355569 2961971898 3455633881 5004711138 6911267762 10366901643 20733803286 24189437167 48378874334 72568311501 145136623002