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4145355059488 = 251771754714221
BaseRepresentation
bin111100010100101010011…
…010100111000100100000
3112200021212220212210021221
4330110222122213010200
51020404141343400423
612452203321224424
7605330522425546
oct74245232470440
915607786783257
104145355059488
111359042953205
1256b493032114
13240b9cc54386
141048c9c55d96
1572c6bdbae5d
hex3c52a6a7120

4145355059488 has 96 divisors (see below), whose sum is σ = 8764721417088. Its totient is φ = 1922889830400.

The previous prime is 4145355059467. The next prime is 4145355059497. The reversal of 4145355059488 is 8849505535414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291488218 + ... + 291502438.

It is an arithmetic number, because the mean of its divisors is an integer number (91299181428).

Almost surely, 24145355059488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145355059488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382360708544).

4145355059488 is an abundant number, since it is smaller than the sum of its proper divisors (4619366357600).

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

4145355059488 is a wasteful number, since it uses less digits than its factorization.

4145355059488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21866 (or 21858 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 61.

The spelling of 4145355059488 in words is "four trillion, one hundred forty-five billion, three hundred fifty-five million, fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 1136 1207 2272 2414 4828 7547 9656 14221 15094 19312 28442 30188 38624 56884 60376 113768 120752 128299 227536 241504 241757 256598 455072 483514 513196 535837 967028 1009691 1026392 1071674 1934056 2019382 2052784 2143348 3868112 4038764 4105568 4286696 7736224 8077528 8573392 9109229 16155056 17146784 17164747 18218458 32310112 34329494 36436916 68658988 72873832 107325887 137317976 145747664 214651774 274635952 291495328 429303548 549271904 858607096 1717214192 1824540079 3434428384 3649080158 7298160316 7620137977 14596320632 15240275954 29192641264 30480551908 58385282528 60961103816 121922207632 129542345609 243844415264 259084691218 518169382436 1036338764872 2072677529744 4145355059488