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145040135230456 = 232967239268914519
BaseRepresentation
bin100000111110100111001001…
…101111010001001111111000
3201000112200221101212121211021
4200332213021233101033320
5123002314144104333311
61232250303540512224
742356542521626014
oct4076471157211770
9630480841777737
10145040135230456
114223a1a3170454
12143258bb9ab674
1362c12c288462b
1427b5da11a3544
1511b7c60508171
hex83e9c9bd13f8

145040135230456 has 128 divisors (see below), whose sum is σ = 286847827200000. Its totient is φ = 68655442673664.

The previous prime is 145040135230447. The next prime is 145040135230513. The reversal of 145040135230456 is 654032531040541.

It is a congruent 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, 9989670765 + ... + 9989685283.

It is an arithmetic number, because the mean of its divisors is an integer number (2240998650000).

Almost surely, 2145040135230456 is an apocalyptic number.

It is an amenable number.

145040135230456 is a deficient number, since it is larger than the sum of its proper divisors (141807691969544).

145040135230456 is a wasteful number, since it uses less digits than its factorization.

145040135230456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17549 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

Adding to 145040135230456 its reverse (654032531040541), we get a palindrome (799072666270997).

The spelling of 145040135230456 in words is "one hundred forty-five trillion, forty billion, one hundred thirty-five million, two hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 29 58 67 116 134 232 239 268 478 536 956 1912 1943 2689 3886 5378 6931 7772 10756 13862 14519 15544 16013 21512 27724 29038 32026 55448 58076 64052 77981 116152 128104 155962 180163 311924 360326 421051 464377 623848 642671 720652 842102 928754 972773 1285342 1441304 1684204 1857508 1945546 2570684 3368408 3470041 3715016 3891092 5141368 5224727 6940082 7782184 10449454 13880164 18637459 20898908 27760328 28210417 37274918 39041591 41797816 43058957 56420834 74549836 78083182 86117914 100631189 112841668 149099672 156166364 172235828 201262378 225683336 232492747 312332728 344471656 402524756 464985494 805049512 929970988 1132206139 1248709753 1859941976 2264412278 2497419506 2615786597 4528824556 4994839012 5231573194 6742289663 9057649112 9330940249 9989678024 10463146388 13484579326 18661880498 20926292776 26969158652 37323760996 53938317304 74647521992 75857811313 151715622626 270597267221 303431245252 541194534442 606862490504 625172996683 1082389068884 1250345993366 2164778137768 2500691986732 5001383973464 18130016903807 36260033807614 72520067615228 145040135230456