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2530035114240 = 2835971678541
BaseRepresentation
bin100100110100010001110…
…110000010000100000000
322221212110111102110021010
4210310101312002010000
5312423002442123430
65214140533000520
7350534425432224
oct44642166020400
98855414373233
102530035114240
11895a88956147
1234a407783140
1315477311cc9a
148a650a5c784
1545c2a873cb0
hex24d11d82100

2530035114240 has 144 divisors (see below), whose sum is σ = 8088633193536. Its totient is φ = 673980211200.

The previous prime is 2530035114221. The next prime is 2530035114253. The reversal of 2530035114240 is 424115300352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2530035114198 and 2530035114207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389370 + ... + 4067910.

It is an arithmetic number, because the mean of its divisors is an integer number (56171063844).

Almost surely, 22530035114240 is an apocalyptic number.

2530035114240 is a gapful number since it is divisible by the number (20) 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 2530035114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044316596768).

2530035114240 is an abundant number, since it is smaller than the sum of its proper divisors (5558598079296).

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

2530035114240 is an equidigital number, since it uses as much as digits as its factorization.

2530035114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679536 (or 679522 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2530035114240 in words is "two trillion, five hundred thirty billion, thirty-five million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 971 1280 1920 1942 2913 3840 3884 4855 5826 7768 9710 11652 14565 15536 19420 23304 29130 31072 38840 46608 58260 62144 77680 93216 116520 124288 155360 186432 233040 248576 310720 372864 466080 621440 678541 745728 932160 1242880 1357082 1864320 2035623 2714164 3392705 3728640 4071246 5428328 6785410 8142492 10178115 10856656 13570820 16284984 20356230 21713312 27141640 32569968 40712460 43426624 54283280 65139936 81424920 86853248 108566560 130279872 162849840 173706496 217133120 260559744 325699680 434266240 521119488 651399360 658863311 868532480 1302798720 1317726622 1976589933 2605597440 2635453244 3294316555 3953179866 5270906488 6588633110 7906359732 9882949665 10541812976 13177266220 15812719464 19765899330 21083625952 26354532440 31625438928 39531798660 42167251904 52709064880 63250877856 79063597320 84334503808 105418129760 126501755712 158127194640 168669007616 210836259520 253003511424 316254389280 421672519040 506007022848 632508778560 843345038080 1265017557120 2530035114240