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150354416141040 = 24356315527179633
BaseRepresentation
bin100010001011111100011101…
…100100001000001011110000
3201201100202000202222012102210
4202023330131210020023300
5124201401321013003130
61251435510520012120
743445514411224406
oct4213743544101360
9651322022865383
10150354416141040
11439a8a4a1a8751
1214a43839901040
1365b848c32c337
14291b29a5a9476
15125b0e40095b0
hex88bf1d9082f0

150354416141040 has 160 divisors (see below), whose sum is σ = 466924420924416. Its totient is φ = 40023504138240.

The previous prime is 150354416141021. The next prime is 150354416141077. The reversal of 150354416141040 is 40141614453051.

It is a super-2 number, since 2×1503544161410402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150354416141040.

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, 836919064 + ... + 837098696.

Almost surely, 2150354416141040 is an apocalyptic number.

150354416141040 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 150354416141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233462210462208).

150354416141040 is an abundant number, since it is smaller than the sum of its proper divisors (316570004783376).

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

150354416141040 is a wasteful number, since it uses less digits than its factorization.

150354416141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185807 (or 185801 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 150354416141040 in words is "one hundred fifty trillion, three hundred fifty-four billion, four hundred sixteen million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 2524 3155 3786 5048 5527 6310 7572 9465 10096 11054 12620 15144 16581 18930 22108 25240 27635 30288 33162 37860 44216 50480 55270 66324 75720 82905 88432 110540 132648 151440 165810 179633 221080 265296 331620 359266 442160 538899 663240 718532 898165 1077798 1326480 1437064 1796330 2155596 2694495 2874128 3487537 3592660 4311192 5388990 6975074 7185320 8622384 10462611 10777980 13950148 14370640 17437685 20925222 21555960 27900296 34875370 41850444 43111920 52313055 55800592 69750740 83700888 104626110 113348423 139501480 167401776 209252220 226696846 279002960 340045269 418504440 453393692 566742115 680090538 837008880 906787384 992831591 1133484230 1360181076 1700226345 1813574768 1985663182 2266968460 2720362152 2978494773 3400452690 3971326364 4533936920 4964157955 5440724304 5956989546 6800905380 7942652728 9067873840 9928315910 11913979092 13601810760 14892473865 15885305456 19856631820 23827958184 27203621520 29784947730 39713263640 47655916368 59569895460 79426527280 119139790920 238279581840 626476733921 1252953467842 1879430201763 2505906935684 3132383669605 3758860403526 5011813871368 6264767339210 7517720807052 9397151008815 10023627742736 12529534678420 15035441614104 18794302017630 25059069356840 30070883228208 37588604035260 50118138713680 75177208070520 150354416141040