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31404420420 = 22353173231289
BaseRepresentation
bin11101001111110110…
…010110110101000100
310000001121221212000020
4131033312112311010
51003304012423140
622232121415140
72161142112012
oct351766266504
9100047855006
1031404420420
1112355a8196a
12610533a4b0
132c663308b9
14173cb8b8b2
15c3c0936d0
hex74fd96d44

31404420420 has 96 divisors (see below), whose sum is σ = 92012712960. Its totient is φ = 7993313280.

The previous prime is 31404420401. The next prime is 31404420449. The reversal of 31404420420 is 2402440413.

It is a happy number.

It is a super-2 number, since 2×314044204202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20136 + ... + 251424.

It is an arithmetic number, because the mean of its divisors is an integer number (958465760).

Almost surely, 231404420420 is an apocalyptic number.

31404420420 is a gapful number since it is divisible by the number (30) 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 31404420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46006356480).

31404420420 is an abundant number, since it is smaller than the sum of its proper divisors (60608292540).

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

31404420420 is a wasteful number, since it uses less digits than its factorization.

31404420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231405 (or 231403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 31404420420 its reverse (2402440413), we get a palindrome (33806860833).

The spelling of 31404420420 in words is "thirty-one billion, four hundred four million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 73 93 124 146 155 186 219 292 310 365 372 438 465 620 730 876 930 1095 1460 1860 2190 2263 4380 4526 6789 9052 11315 13578 22630 27156 33945 45260 67890 135780 231289 462578 693867 925156 1156445 1387734 2312890 2775468 3469335 4625780 6938670 7169959 13877340 14339918 16884097 21509877 28679836 33768194 35849795 43019754 50652291 67536388 71699590 84420485 86039508 101304582 107549385 143399180 168840970 202609164 215098770 253261455 337681940 430197540 506522910 523407007 1013045820 1046814014 1570221021 2093628028 2617035035 3140442042 5234070070 6280884084 7851105105 10468140140 15702210210 31404420420