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21153401040 = 2435427320627
BaseRepresentation
bin10011101100110101…
…110100100011010000
32000121012212010000210
4103230311310203100
5321310232313130
613415010444120
71346125641102
oct235465644320
960535763023
1021153401040
118a755a8322
124124293640
131cc1634a65
141049565572
1583c14e5b0
hex4ecd748d0

21153401040 has 80 divisors (see below), whose sum is σ = 65594069568. Its totient is φ = 5639313408.

The previous prime is 21153401033. The next prime is 21153401069. The reversal of 21153401040 is 4010435112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21153400998 and 21153401016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015207 + ... + 1035833.

Almost surely, 221153401040 is an apocalyptic number.

21153401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21153401040 is an abundant number, since it is smaller than the sum of its proper divisors (44440668528).

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

21153401040 is a wasteful number, since it uses less digits than its factorization.

21153401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24916 (or 24910 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21153401040 its reverse (4010435112), we get a palindrome (25163836152).

The spelling of 21153401040 in words is "twenty-one billion, one hundred fifty-three million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4273 8546 12819 17092 20627 21365 25638 34184 41254 42730 51276 61881 64095 68368 82508 85460 102552 103135 123762 128190 165016 170920 205104 206270 247524 256380 309405 330032 341840 412540 495048 512760 618810 825080 990096 1025520 1237620 1650160 2475240 4950480 88139171 176278342 264417513 352556684 440695855 528835026 705113368 881391710 1057670052 1322087565 1410226736 1762783420 2115340104 2644175130 3525566840 4230680208 5288350260 7051133680 10576700520 21153401040