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30378461378240 = 265314927962143
BaseRepresentation
bin1101110100001000010010…
…11001100011011011000000
310222120011010012112202222002
412322010021121203123000
512440210042103100430
6144335401132003132
76253525410130463
oct672041131433300
9128504105482862
1030378461378240
1197524845350a8
1234a76713004a8
1313c48a46aa291
1477047ab8d2da
1537a33082d845
hex1ba1096636c0

30378461378240 has 112 divisors (see below), whose sum is σ = 74674934906880. Its totient is φ = 11758976547840.

The previous prime is 30378461378227. The next prime is 30378461378249. The reversal of 30378461378240 is 4287316487303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30378461378249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488816609 + ... + 488878751.

It is an arithmetic number, because the mean of its divisors is an integer number (666740490240).

Almost surely, 230378461378240 is an apocalyptic number.

It is an amenable number.

30378461378240 is an abundant number, since it is smaller than the sum of its proper divisors (44296473528640).

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

30378461378240 is a wasteful number, since it uses less digits than its factorization.

30378461378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111470 (or 111460 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 30378461378240 in words is "thirty trillion, three hundred seventy-eight billion, four hundred sixty-one million, three hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 49279 62143 98558 124286 197116 246395 248572 310715 394232 492790 497144 621430 788464 985580 994288 1242860 1527649 1576928 1926433 1971160 1988576 2485720 3055298 3153856 3852866 3942320 3977152 4971440 6110596 7638245 7705732 7884640 9632165 9942880 12221192 15276490 15411464 15769280 19264330 19885760 24442384 30552980 30822928 38528660 48884768 61105960 61645856 77057320 97769536 122211920 123291712 154114640 244423840 308229280 488847680 616458560 3062344897 6124689794 12249379588 15311724485 24498759176 30623448970 48997518352 61246897940 94932691807 97995036704 122493795880 189865383614 195990073408 244987591760 379730767228 474663459035 489975183520 759461534456 949326918070 979950367040 1518923068912 1898653836140 3037846137824 3797307672280 6075692275648 7594615344560 15189230689120 30378461378240