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1430104201240 = 2351113317788701
BaseRepresentation
bin10100110011111000110…
…110100101100000011000
312001201100102100200002011
4110303320312211200120
5141412323133414430
63012551504115304
7205215213066421
oct24637066454030
95051312320064
101430104201240
1150155a5a2250
121b11b7005b34
13a4b20753ac0
144d30881a648
1527300ebd22a
hex14cf8da5818

1430104201240 has 128 divisors (see below), whose sum is σ = 3792205408320. Its totient is φ = 478520064000.

The previous prime is 1430104201181. The next prime is 1430104201243. The reversal of 1430104201240 is 421024010341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430104201243) 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 31 ways as a sum of consecutive naturals, for example, 1418890 + ... + 2207590.

Almost surely, 21430104201240 is an apocalyptic number.

1430104201240 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 1430104201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896102704160).

1430104201240 is an abundant number, since it is smaller than the sum of its proper divisors (2362101207080).

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

1430104201240 is a wasteful number, since it uses less digits than its factorization.

1430104201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789053 (or 789049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1430104201240 its reverse (421024010341), we get a palindrome (1851128211581).

The spelling of 1430104201240 in words is "one trillion, four hundred thirty billion, one hundred four million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 317 440 520 572 634 715 1144 1268 1430 1585 2536 2860 3170 3487 4121 5720 6340 6974 8242 12680 13948 16484 17435 20605 27896 32968 34870 41210 45331 69740 82420 90662 139480 164840 181324 226655 362648 453310 788701 906620 1577402 1813240 3154804 3943505 6309608 7887010 8675711 10253113 15774020 17351422 20506226 31548040 34702844 41012452 43378555 51265565 69405688 82024904 86757110 102531130 112784243 173514220 205062260 225568486 250018217 347028440 410124520 451136972 500036434 563921215 902273944 1000072868 1127842430 1250091085 2000145736 2255684860 2500182170 2750200387 3250236821 4511369720 5000364340 5500400774 6500473642 10000728680 11000801548 13000947284 13751001935 16251184105 22001603096 26001894568 27502003870 32502368210 35752605031 55004007740 65004736420 71505210062 110008015480 130009472840 143010420124 178763025155 286020840248 357526050310 715052100620 1430104201240