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30144435323032 = 23197128343922483
BaseRepresentation
bin1101101101010100011000…
…10111000000000010011000
310221201210001112020101121201
412312222030113000002120
512422341300420314112
6144040055025243544
76230602131362362
oct666521427000230
9127653045211551
1030144435323032
119672201970018
12346a23a4935b4
1313a87b9b81034
14762dd9a89d32
153741d50b0257
hex1b6a8c5c0098

30144435323032 has 128 divisors (see below), whose sum is σ = 60687373824000. Its totient is φ = 13995509028480.

The previous prime is 30144435323027. The next prime is 30144435323033. The reversal of 30144435323032 is 23032353444103.

It is a junction number, because it is equal to n+sod(n) for n = 30144435322982 and 30144435323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144435323033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340754463 + ... + 1340776945.

It is an arithmetic number, because the mean of its divisors is an integer number (474120108000).

Almost surely, 230144435323032 is an apocalyptic number.

It is an amenable number.

30144435323032 is an abundant number, since it is smaller than the sum of its proper divisors (30542938500968).

30144435323032 is a wasteful number, since it uses less digits than its factorization.

30144435323032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23301 (or 23297 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 30144435323032 its reverse (23032353444103), we get a palindrome (53176788767135).

The spelling of 30144435323032 in words is "thirty trillion, one hundred forty-four billion, four hundred thirty-five million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 19 38 71 76 142 152 283 284 439 566 568 878 1132 1349 1756 2264 2698 3512 5377 5396 8341 10754 10792 16682 20093 21508 22483 31169 33364 40186 43016 44966 62338 66728 80372 89932 124237 124676 160744 179864 248474 249352 381767 427177 496948 592211 763534 854354 993896 1184422 1527068 1596293 1708708 2360503 2368844 3054136 3192586 3417416 4721006 4737688 6362689 6385172 8820827 9442012 9870037 12725378 12770344 17641654 18884024 19740074 25450756 30329567 35283308 39480148 50901512 60659134 70566616 78960296 120891091 121318268 167595713 187530703 241782182 242636536 335191426 375061406 451750919 483564364 670382852 700772627 750122812 903501838 967128728 1340765704 1401545254 1500245624 1807003676 2793220471 2803090508 3614007352 5586440942 5606181016 8583267461 11172881884 13314679913 17166534922 22345763768 26629359826 34333069844 53071188949 53258719652 68666139688 106142377898 106517439304 198318653441 212284755796 396637306882 424569511592 793274613764 1586549227528 3768054415379 7536108830758 15072217661516 30144435323032