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1403423204100 = 22352157145320507
BaseRepresentation
bin10100011011000010100…
…010101010001100000100
311222011110222100120200220
4110123002202222030010
5140443202320012400
62552420153504340
7203252064256641
oct24330242521404
94864428316626
101403423204100
114a12088a2195
121a7bab7120b0
13a245ab95628
144bcd70d6dc8
152678d94c7a0
hex146c28aa304

1403423204100 has 144 divisors (see below), whose sum is σ = 4089446467008. Its totient is φ = 371588405760.

The previous prime is 1403423204093. The next prime is 1403423204107. The reversal of 1403423204100 is 14023243041.

It is an interprime number because it is at equal distance from previous prime (1403423204093) and next prime (1403423204107).

It is not an unprimeable number, because it can be changed into a prime (1403423204107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68426047 + ... + 68446553.

Almost surely, 21403423204100 is an apocalyptic number.

1403423204100 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 1403423204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044723233504).

1403423204100 is an abundant number, since it is smaller than the sum of its proper divisors (2686023262908).

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

1403423204100 is a wasteful number, since it uses less digits than its factorization.

1403423204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22134 (or 22127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1403423204100 its reverse (14023243041), we get a palindrome (1417446447141).

The spelling of 1403423204100 in words is "one trillion, four hundred three billion, four hundred twenty-three million, two hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1453 1570 1884 2355 2906 3140 3925 4359 4710 5812 7265 7850 8718 9420 11775 14530 15700 17436 20507 21795 23550 29060 36325 41014 43590 47100 61521 72650 82028 87180 102535 108975 123042 145300 205070 217950 228121 246084 307605 410140 435900 456242 512675 615210 684363 912484 1025350 1140605 1230420 1368726 1538025 2050700 2281210 2737452 3076050 3219599 3421815 4562420 5703025 6152100 6439198 6843630 9658797 11406050 12878396 13687260 16097995 17109075 19317594 22812100 29796671 32195990 34218150 38635188 48293985 59593342 64391980 68436300 80489975 89390013 96587970 119186684 148983355 160979950 178780026 193175940 241469925 297966710 321959900 357560052 446950065 482939850 595933420 744916775 893900130 965879700 1489833550 1787800260 2234750325 2979667100 4469500650 4678077347 8939001300 9356154694 14034232041 18712309388 23390386735 28068464082 46780773470 56136928164 70171160205 93561546940 116951933675 140342320410 233903867350 280684640820 350855801025 467807734700 701711602050 1403423204100