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4038989014160 = 2451075416191409
BaseRepresentation
bin111010110001100110100…
…000010110010010010000
3112022010100002101211120122
4322301212200112102100
51012133322141423120
612331252543525412
7564543625106252
oct72614640262220
915263302354518
104038989014160
111317a20003021
125529492b9868
13233b4b595609
14dd6b953dcd2
15700e3d40a25
hex3ac66816490

4038989014160 has 160 divisors (see below), whose sum is σ = 9518023843200. Its totient is φ = 1593825361920.

The previous prime is 4038989014141. The next prime is 4038989014201. The reversal of 4038989014160 is 614109898304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866563536 + ... + 2866564944.

It is an arithmetic number, because the mean of its divisors is an integer number (59487649020).

Almost surely, 24038989014160 is an apocalyptic number.

4038989014160 is a gapful number since it is divisible by the number (40) 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 4038989014160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759011921600).

4038989014160 is an abundant number, since it is smaller than the sum of its proper divisors (5479034829040).

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

4038989014160 is a wasteful number, since it uses less digits than its factorization.

4038989014160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 4038989014160 in words is "four trillion, thirty-eight billion, nine hundred eighty-nine million, fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 541 619 856 1070 1082 1238 1409 1712 2140 2164 2476 2705 2818 3095 4280 4328 4952 5410 5636 6190 7045 8560 8656 9904 10820 11272 12380 14090 21640 22544 24760 28180 43280 49520 56360 57887 66233 112720 115774 132466 150763 231548 264932 289435 301526 331165 334879 463096 529864 578870 603052 662330 669758 753815 762269 872171 926192 1059728 1157740 1206104 1324660 1339516 1507630 1524538 1674395 1744342 2315480 2412208 2649320 2679032 3015260 3049076 3348790 3488684 3811345 4360855 4630960 5298640 5358064 6030520 6098152 6697580 6977368 7622690 8721710 12061040 12196304 13395160 13954736 15245380 17443420 26790320 30490760 34886840 35832053 60981520 69773680 71664106 81562783 93322297 143328212 163125566 179160265 186644594 286656424 326251132 358320530 373289188 407813915 466611485 471844511 573312848 652502264 716641060 746578376 815627830 933222970 943689022 1305004528 1433282120 1493156752 1631255660 1866445940 1887378044 2359222555 2866564240 3262511320 3732891880 3774756088 4718445110 6525022640 7465783760 7549512176 9436890220 18873780440 37747560880 50487362677 100974725354 201949450708 252436813385 403898901416 504873626770 807797802832 1009747253540 2019494507080 4038989014160