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12046242451440 = 2435712281730983
BaseRepresentation
bin1010111101001011110000…
…0000001000111111110000
31120122121110100102000211010
42233102330000020333300
53034331201031421230
641341544542150520
72352212055244131
oct257227400107760
946577410360733
1012046242451440
11392486790101a
121426786282440
13694c56b397a2
142d908126bc88
1515d53c9829b0
hexaf4bc008ff0

12046242451440 has 160 divisors (see below), whose sum is σ = 37872196310016. Its totient is φ = 3166846197760.

The previous prime is 12046242451429. The next prime is 12046242451517. The reversal of 12046242451440 is 4415424264021.

It is a super-2 number, since 2×120462424514402 (a number of 27 digits) contains 22 as substring.

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, 388786189 + ... + 388817171.

Almost surely, 212046242451440 is an apocalyptic number.

12046242451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12046242451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18936098155008).

12046242451440 is an abundant number, since it is smaller than the sum of its proper divisors (25825953858576).

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

12046242451440 is a wasteful number, since it uses less digits than its factorization.

12046242451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53887 (or 53881 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 12046242451440 in words is "twelve trillion, forty-six billion, two hundred forty-two million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 22817 30983 45634 61966 68451 91268 92949 114085 123932 136902 154915 182536 185898 228170 247864 273804 309830 342255 365072 371796 456340 464745 495728 547608 619660 684510 743592 912680 929490 1095216 1239320 1369020 1487184 1620007 1825360 1858980 2199793 2478640 2738040 3240014 3717960 4399586 4860021 5476080 6480028 6599379 7435920 8100035 8799172 9720042 10998965 12960056 13198758 16200070 17598344 19440084 21997930 24300105 25920112 26397516 32400140 32996895 35196688 38880168 43995860 48600210 52795032 64800280 65993790 77760336 87991720 97200420 105590064 129600560 131987580 175983440 194400840 263975160 388801680 527950320 706939111 1413878222 2120817333 2827756444 3534695555 4241634666 5655512888 7069391110 8483269332 10604086665 11311025776 14138782220 16966538664 21208173330 28277564440 33933077328 42416346660 50192676881 56555128880 84832693320 100385353762 150578030643 169665386640 200770707524 250963384405 301156061286 401541415048 501926768810 602312122572 752890153215 803082830096 1003853537620 1204624245144 1505780306430 2007707075240 2409248490288 3011560612860 4015414150480 6023121225720 12046242451440