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145116053004 = 2231317101541777
BaseRepresentation
bin1000011100100110010…
…1110011111000001100
3111212120101110022002210
42013021211303320030
54334144202144004
6150355420350420
713325053045506
oct2071145637014
9455511408083
10145116053004
11565a825751a
122415b0a5410
13108b87950b0
147048c9cd76
153b94e4e089
hex21c9973e0c

145116053004 has 96 divisors (see below), whose sum is σ = 389924127936. Its totient is φ = 41608396800.

The previous prime is 145116052997. The next prime is 145116053039. The reversal of 145116053004 is 400350611541.

It is a happy 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, 3037 + ... + 538740.

It is an arithmetic number, because the mean of its divisors is an integer number (4061709666).

Almost surely, 2145116053004 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 145116053004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194962063968).

145116053004 is an abundant number, since it is smaller than the sum of its proper divisors (244808074932).

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

145116053004 is a wasteful number, since it uses less digits than its factorization.

145116053004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541915 (or 541913 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 145116053004 its reverse (400350611541), we get a palindrome (545466664545).

The spelling of 145116053004 in words is "one hundred forty-five billion, one hundred sixteen million, fifty-three thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 101 102 156 202 204 221 303 404 442 606 663 884 1212 1313 1326 1717 2626 2652 3434 3939 5151 5252 6868 7878 10302 15756 20604 22321 44642 66963 89284 133926 267852 541777 1083554 1625331 2167108 3250662 6501324 7043101 9210209 14086202 18420418 21129303 27630627 28172404 36840836 42258606 54719477 55261254 84517212 109438954 110522508 119732717 164158431 218877908 239465434 328316862 359198151 478930868 656633724 711353201 718396302 930231109 1422706402 1436792604 1860462218 2134059603 2790693327 2845412804 3720924436 4268119206 5581386654 8536238412 11162773308 12093004417 24186008834 36279013251 48372017668 72558026502 145116053004