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241542335045340 = 2232571374771394417
BaseRepresentation
bin110110111010111001110101…
…000101000001111011011100
31011200020012222122001100010200
4312322321311011001323130
5223124412200232422330
62213415003350303500
7101606600143063140
oct6672716505017334
91150205878040120
10241542335045340
116aa6559015698a
1223110633357b90
13a4a1462a17c14
1443909d60c9220
151cdd10cb32a60
hexdbae75141edc

241542335045340 has 144 divisors (see below), whose sum is σ = 837353452807872. Its totient is φ = 55209235396608.

The previous prime is 241542335045321. The next prime is 241542335045351. The reversal of 241542335045340 is 43540533245142.

241542335045340 is a `hidden beast` number, since 2 + 4 + 1 + 54 + 2 + 3 + 3 + 504 + 53 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172523812 + ... + 173918228.

It is an arithmetic number, because the mean of its divisors is an integer number (5814954533388).

Almost surely, 2241542335045340 is an apocalyptic number.

241542335045340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241542335045340 is an abundant number, since it is smaller than the sum of its proper divisors (595811117762532).

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

241542335045340 is a wasteful number, since it uses less digits than its factorization.

241542335045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531916 (or 1531911 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 241542335045340 in words is "two hundred forty-one trillion, five hundred forty-two billion, three hundred thirty-five million, forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 137477 274954 412431 549908 687385 824862 962339 1237293 1374770 1394417 1649724 1924678 2062155 2474586 2749540 2788834 2887017 3849356 4124310 4183251 4811695 4949172 5577668 5774034 6186465 6972085 8248620 8366502 8661051 9623390 9760919 11548068 12372930 12549753 13944170 14435085 16733004 17322102 19246780 19521838 20916255 24745860 25099506 27888340 28870170 29282757 34644204 39043676 41832510 43305255 48804595 50199012 57740340 58565514 62748765 83665020 86610510 87848271 97609190 117131028 125497530 146413785 173221020 175696542 195218380 250995060 292827570 351393084 439241355 585655140 878482710 1756965420 191700265909 383400531818 575100797727 766801063636 958501329545 1150201595454 1341901861363 1725302393181 1917002659090 2300403190908 2683803722726 2875503988635 3450604786362 3834005318180 4025705584089 5367607445452 5751007977270 6709509306815 6901209572724 8051411168178 8626511965905 11502015954540 12077116752267 13419018613630 16102822336356 17253023931810 20128527920445 24154233504534 26838037227260 34506047863620 40257055840890 48308467009068 60385583761335 80514111681780 120771167522670 241542335045340