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144915416212840 = 235713211188682121
BaseRepresentation
bin100000111100110010111111…
…111001111110010101101000
3201000002210000112001002010121
4200330302333321332111220
5122443243233022302330
61232113120111253024
742344536051520530
oct4074627771762550
9630083015032117
10144915416212840
11421a1312573579
12143056b381a174
1362b2607b0b260
1427add2d21c4c0
1511b48b110017a
hex83ccbfe7e568

144915416212840 has 128 divisors (see below), whose sum is σ = 403206147429120. Its totient is φ = 45645978470400.

The previous prime is 144915416212837. The next prime is 144915416212841. The reversal of 144915416212840 is 48212614519441.

It is a super-2 number, since 2×1449154162128402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (144915416212841) 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, 93573021 + ... + 95109100.

It is an arithmetic number, because the mean of its divisors is an integer number (3150048026790).

Almost surely, 2144915416212840 is an apocalyptic number.

144915416212840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144915416212840 is an abundant number, since it is smaller than the sum of its proper divisors (258290731216280).

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

144915416212840 is a wasteful number, since it uses less digits than its factorization.

144915416212840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188682363 (or 188682359 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 144915416212840 in words is "one hundred forty-four trillion, nine hundred fifteen billion, four hundred sixteen million, two hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 211 260 280 364 422 455 520 728 844 910 1055 1477 1688 1820 2110 2743 2954 3640 4220 5486 5908 7385 8440 10972 11816 13715 14770 19201 21944 27430 29540 38402 54860 59080 76804 96005 109720 153608 192010 384020 768040 188682121 377364242 754728484 943410605 1320774847 1509456968 1886821210 2452867573 2641549694 3773642420 4905735146 5283099388 6603874235 7547284840 9811470292 10566198776 12264337865 13207748470 17170073011 19622940584 24528675730 26415496940 34340146022 39811927531 49057351460 52830993880 68680292044 79623855062 85850365055 98114702920 137360584088 159247710124 171700730110 199059637655 278683492717 318495420248 343401460220 398119275310 517555057903 557366985434 686802920440 796238550620 1035110115806 1114733970868 1393417463585 1592477101240 2070220231612 2229467941736 2587775289515 2786834927170 3622885405321 4140440463224 5175550579030 5573669854340 7245770810642 10351101158060 11147339708680 14491541621284 18114427026605 20702202316120 28983083242568 36228854053210 72457708106420 144915416212840