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4002001043130 = 232529252873577
BaseRepresentation
bin111010001111001001110…
…110011011111010111010
3112011120212100000020001200
4322033021312123322322
51011032044231340010
612302254403155030
7562064213411106
oct72171166337272
915146770006050
104002001043130
11130326a290a22
12547746075a76
1323050554981c
14db9aadca906
156e17b9c6cc0
hex3a3c9d9beba

4002001043130 has 72 divisors (see below), whose sum is σ = 10776375426492. Its totient is φ = 1030400249088.

The previous prime is 4002001043123. The next prime is 4002001043177. The reversal of 4002001043130 is 313401002004.

4002001043130 is a `hidden beast` number, since 4 + 0 + 0 + 200 + 1 + 0 + 431 + 30 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 759873093849 + 3242127949281 = 871707^2 + 1800591^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26361099 + ... + 26512478.

Almost surely, 24002001043130 is an apocalyptic number.

4002001043130 is an abundant number, since it is smaller than the sum of its proper divisors (6774374383362).

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

4002001043130 is a wasteful number, since it uses less digits than its factorization.

4002001043130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52873648 (or 52873616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4002001043130 its reverse (313401002004), we get a palindrome (4315402045134).

The spelling of 4002001043130 in words is "four trillion, two billion, one million, forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 841 870 1305 1682 2523 2610 4205 5046 7569 8410 12615 15138 25230 37845 75690 52873577 105747154 158620731 264367885 317241462 475862193 528735770 793103655 951724386 1533333733 1586207310 2379310965 3066667466 4600001199 4758621930 7666668665 9200002398 13800003597 15333337330 23000005995 27600007194 44466678257 46000011990 69000017985 88933356514 133400034771 138000035970 222333391285 266800069542 400200104313 444666782570 667000173855 800400208626 1334000347710 2001000521565 4002001043130