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3551437124340 = 2235723083391817
BaseRepresentation
bin110011101011100010001…
…001011111001011110100
3110120111212202111122021220
4303223202021133023310
5431141320400434330
611315301354510340
7514403631322200
oct63534211371364
913514782448256
103551437124340
11114a179741a96
124943611353b0
131c9b8c396b11
14c3c67663b00
15625aae96710
hex33ae225f2f4

3551437124340 has 144 divisors (see below), whose sum is σ = 11571319634112. Its totient is φ = 811491684864.

The previous prime is 3551437124267. The next prime is 3551437124369. The reversal of 3551437124340 is 434217341553.

It is a super-2 number, since 2×35514371243402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3551437124292 and 3551437124301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8868112 + ... + 9259928.

It is an arithmetic number, because the mean of its divisors is an integer number (80356386348).

Almost surely, 23551437124340 is an apocalyptic number.

3551437124340 is a gapful number since it is divisible by the number (30) 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 3551437124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785659817056).

3551437124340 is an abundant number, since it is smaller than the sum of its proper divisors (8019882509772).

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

3551437124340 is a wasteful number, since it uses less digits than its factorization.

3551437124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394926 (or 394917 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 3551437124340 in words is "three trillion, five hundred fifty-one billion, four hundred thirty-seven million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3083 6166 9249 12332 15415 18498 21581 30830 36996 43162 46245 61660 64743 86324 92490 107905 129486 151067 184980 215810 258972 302134 323715 391817 431620 453201 604268 647430 755335 783634 906402 1175451 1294860 1510670 1567268 1812804 1959085 2266005 2350902 2742719 3021340 3918170 4532010 4701804 5485438 5877255 7836340 8228157 9064020 10970876 11754510 13713595 16456314 19199033 23509020 27427190 32912628 38398066 41140785 54854380 57597099 76796132 82281570 95995165 115194198 164563140 191990330 230388396 287985495 383980660 575970990 1151941980 1207971811 2415943622 3623915433 4831887244 6039859055 7247830866 8455802677 12079718110 14495661732 16911605354 18119577165 24159436220 25367408031 33823210708 36239154330 42279013385 50734816062 59190618739 72478308660 84558026770 101469632124 118381237478 126837040155 169116053540 177571856217 236762474956 253674080310 295953093695 355143712434 507348160620 591906187390 710287424868 887859281085 1183812374780 1775718562170 3551437124340